# Manifold: Census Knot K7_95

# Number of Tetrahedra: 7

# Number Field
x^8 + 5*x^7 + 13*x^6 + 6*x^5 - 4*x^3 + 3*x^2 - 1 

# Approximate Field Generator
-0.669010325907818 - 0.804063776989641*I

# Shape Parameters
-310/801*y^7 - 1471/801*y^6 - 380/89*y^5 + 127/267*y^4 + 1319/267*y^3 + 4141/801*y^2 - 1006/801*y - 710/801

19/1602*y^7 + 263/3204*y^6 + 26/89*y^5 + 577/1068*y^4 + 361/534*y^3 + 803/1602*y^2 - 595/3204*y + 767/1602

-653/801*y^7 - 3065/801*y^6 - 855/89*y^5 - 760/267*y^4 - 392/267*y^3 + 1997/801*y^2 - 3287/801*y + 1295/801

-1295/801*y^7 - 5822/801*y^6 - 1530/89*y^5 - 25/267*y^4 + 760/267*y^3 + 6356/801*y^2 - 5882/801*y + 3287/801

-310/801*y^7 - 1471/801*y^6 - 380/89*y^5 + 127/267*y^4 + 1319/267*y^3 + 4141/801*y^2 - 1006/801*y - 710/801

359/801*y^7 + 2042/801*y^6 + 664/89*y^5 + 1945/267*y^4 + 947/267*y^3 - 173/801*y^2 - 499/801*y + 538/801

-47/801*y^7 - 515/801*y^6 - 227/89*y^5 - 1339/267*y^4 - 626/267*y^3 + 248/801*y^2 - 44/801*y - 211/801


# A Gluing Matrix
{{4,1,4,0,-1,3,1},{1,0,2,0,-1,1,1},{4,2,4,0,0,3,0},{0,0,0,1,0,0,1},{-1,-1,0,0,0,-1,1},{3,1,3,0,-1,3,0},{1,1,0,1,1,0,1}}

# B Gluing Matrix
{{1,0,0,0,0,0,0},{0,1,0,0,0,0,0},{0,0,1,0,0,0,0},{0,0,0,1,0,0,0},{0,0,0,0,1,0,0},{0,0,0,0,0,1,0},{0,0,0,0,0,0,1}}

# nu Gluing Vector
{4, 2, 4, 1, 0, 3, 1}

# f Combinatorial flattening
{0, 0, 1, 1, 0, 0, 0}

# f' Combinatorial flattening
{0, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
4069/1602*y^7 + 23419/1602*y^6 + 3760/89*y^5 + 21587/534*y^4 + 4346/267*y^3 + 8182/801*y^2 + 2450/801*y + 3484/801

# 2 Loop Invariant
-1278744968571814261/128393205622508945304*y^7 - 16171977449291196323/256786411245017890608*y^6 - 2802253056619354519/14265911735834327256*y^5 - 18136283410273977733/85595470415005963536*y^4 + 172725095581589173/21398867603751490884*y^3 + 35098855944682978285/128393205622508945304*y^2 + 25433997371003671723/256786411245017890608*y - 4606624794135268441/64196602811254472652

# 3 Loop Invariant
736818365072408166047184427/27980786424796321713941237184*y^7 + 55260109970923420054374688/437199787887442526780331831*y^6 + 1002806781820171598524957857/3108976269421813523771248576*y^5 + 139490569041412849594017883/1165866101033180071414218216*y^4 + 214117410431444721766265819/4663464404132720285656872864*y^3 - 2504497675316186095634231323/27980786424796321713941237184*y^2 + 318245905756141438997287859/3497598303099540214242654648*y - 643025825230409105021934515/13990393212398160856970618592